Large Picture

Back


Maks A. Akivis
Selected Papers

Edited by Vladislav V. Goldberg

xxxviii + 596 pages, hard cover, ISBN 978-3-88538-503-5, EUR 100.00 (EUR 72.00 for orders from the former countries of the Soviet Union), 2008


One of the great contemporary geometers, Professor Dr. Maks A. Akivis celebrated his 85th birthday and 65 years of scientific activity on January 5, 2008. This volume contains a representative collection of papers he has selected from his prolific mathematical work. The publication, made possible by his friends, students and colleagues, is meant as a sign of deep respect and admiration.

The book also contains a complete list of the publications of M. A. Akivis, a list of Ph. D. Theses  written under his supervision and a Laudatio for the jubilee, written by A. T. Fomenko, V. V. Goldberg, V. F. Kirichenko, V. V. Lychagin, and A. M. Shelekhov. A detailed Table of Contents is given below.



Order and Payment Information



Table of Contents:

A Foreword ix
B A. T. Fomenko, V. V. Goldberg, V. F. Kirichenko, V. V. Lychagin, and A. M. Shelekhov:
Maks A. Akivis. On the occasion of his 85th birthday and 65 years of scientific activity 		xi
C Bibliography of the Publications of M. A. Akivis xxi
D List of Ph. D. Theses Written Under the Supervision of M. A. Akivis xxxvii
     
Reprinted Papers of Maks A. Akivis
     
1 Pairs of T-complexes (Russian),
Mat. Sb. (N.S.) 27 (69) (1950), no. 3, 351--378		 1
2 Invariant construction of the geometry of a hypersurface of a conformal space (Russian),
Mat. Sb. (N.S.) 31 (73) (1952), no. 1, 43--75		 29
3 Focal images of a surface of rank r (Russian),
Izv. Vyssh. Uchebn. Zaved. Mat. 1957, no. 1, 9--19		 63
4 Projective-metric theory of pairs of T-complexes (Russian),
Mat. Sb. (N.S.) 46 (88) (1958), no. 4, 399--420 		75
5 On the conformal differential geometry of multidimensional surfaces (Russian),
Mat. Sb. (N.S.) 53 (95) (1961), no. 1, 53--72 		97
6 Transformations of surfaces by focal families of rays (Russian),
Izv. Vyssh. Uchebn. Zaved. Mat. 1962, no. 6 (31), 3--13 		117
7 On the structure of two-component conjugate systems (Russian),
Trudy Geometr. Sem. 1 (1966), 7--31 		129
8 Three-webs of multidimensional surfaces (Russian),
Trudy Geom. Sem. 2 (1969), 7--31 		155
9 Canonical expansions of the equations of a local analytic quasigroup,
Soviet Math. Dokl. 10 (1969), no. 5, 1200--1203 (translated from the Russian) 		181
10 The structure of conjugate systems on multidimensional surfaces (Russian),
Izv. Vyssh. Uchebn. Zaved. Mat. 1970, no. 10 (101), 3--11 		185
11 The calculation of curvature and torsion tensors for a multidimensional three-web, and the associator of its local quasigroup (with A. M. Shelekhov),
Siberian Math. J. 12 (1971), no. 5, 685--689 (translated from the Russian) 		195
12 On local differentiable quasigroups and connections related to a three-web of multidimensional surfaces (with A. M. Shelekhov),
Siberian Math. J. 12 (1971), no. 6, 845--852 (translated from the Russian) 		201
13 A local differentiable quasigroup and three-webs defined by a triple of hypersurfaces,
Siberian Math. J. 14 (l973), no. 3, 319--324 (translated from the Russian) 		209
14 On multidimensional three-webs formed by surfaces of different dimensions (Russian) (with V. V. Goldberg),
Trudy Geom. Sem. 4 (1973), 179--204 		215
15 On isoclinic three-webs and their interpretation in a ruled space of projective connection,
Siberian Math. J. 15 (1974), no. 1, l--9 (translated from the Russian) 		241
16 The four-web and the local differentiable ternary quasigroup that are determined by a quadruple of surfaces of codimension two (with V. V. Goldberg),
Soviet Math. (Iz. VUZ) 18 (1974), no. 5, 9--19 (translated from the Russian) 		251
17 Closed G-structures on a differentiable manifold (Russian),
Problems in Geometry, Vol. 7 (1975), 69--79 		263
18 Local algebras of a multidimensional three-web,
Siberian Math. J. 17 (1976), no. 1, 3--8 (translated from the Russian) 		275
19 Geodesic loops and local triple systems in an affinely connected space,
Siberian Math. J. 19 (1978), no. 2, 171--178 (translated from the Russian) 		281
20 Webs and almost Grassmann structures,
Siberian Math. J. 23 (1982), no. 6, 763--770 (translated from the Russian) 		289
21 On the differential geometry of a Grassmann manifold (Russian),
Tensor 38 (1982), 273--282 		297
22 On completely isotropic submanifolds of a four-dimensional pseudoconformal structure,
Soviet Math. (Iz. VUZ) 27 (1983), no. 1, 1--11 (translated from the Russian) 		307
23 Multidimensional strongly parabolic surfaces,
Soviet Math. (Iz. VUZ) 31 (1987), no. 5, 1--11 (translated from the Russian) 		319
24 On subwebs of 3-webs and subalgebras of local Wk-algebras (with A. M. Shelekhov),
Acta Math. Hungar. 52 (1988), no. 3--4, 256--271 		331
25 On problems of algebraizability in projective differential geometry,
Russian Math. (Izv. VUZ) 36 (1992), no. 6, 1--12 (translated from the Russian) 		339
26 Some local aspects of the theory of conformal structures (with V. V. Konnov),
Russian Math. Surveys 48 (1993), no. 1, 1--35 (translated from the Russian) 		351
27 On the real theory of four-dimensional conformal structures,
J. Geom. Phys. 21 (1996), no. 1, 55--80 		387
28 A conformal differential invariant and the conformal rigidity of hypersurfaces (with V. V. Goldberg),
Proc. Amer. Math. Soc. 125 (1997), no. 8, 2415--2424 		413
29 Conformal and Grassmann structures (with V. V. Goldberg),
Differential Geom. Appl. 8 (1998), no. 2, 177--203 		423
30 Semiintegrable almost Grassmann structures (with V. V. Goldberg),
Differential Geom. Appl. 10 (1999), no. 3, 257--294 		451
31 On the theory of almost Grassmann structures (with V. V. Goldberg),
in: New Developments in Differential Geometry, Budapest, 1999, Editor: J. Szenthe, Proceedings of the Conference on Differential Geometry (Budapest, Hungary, 1996), 1--37 		489
32 On the structure of submanifolds with degenerate Gauss maps (with V. V. Goldberg),
Geom. Dedicata 86 (2001), no. 1--3, 205--226 		527
33 An affine analogue of the Hartman-Nirenberg cylinder theorem (with V. V. Goldberg),
Math. Ann. 322 (2002), no. 3, 573--582 		549
34 Smooth lines on projective planes over two-dimensional algebras and submanifolds with degenerate Gauss maps (with V. V. Goldberg),
Beiträge Algebra Geom. 44 (2003), no. 1, 165--178 		559
35 Linearizability of d-webs, d ≥ 4, on two-dimensional manifolds (with V. V. Goldberg and V. V. Lychagin),
Selecta Math. 10 (2004), no. 4, 431--451 		573
     
  Copyright Permissions 595